Lower bounds for moments of automorphic 𝐿-functions over short intervals

Ji, Guanghua

doi:10.1090/S0002-9939-09-10012-6

Lower bounds for moments of automorphic $L$-functions over short intervals
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Proc. Amer. Math. Soc. 137 (2009), 3569-3574 Request permission

Abstract:

Let $L(s,\pi )$ be the principal $L$-function attached to an irreducible unitary cuspidal automorphic representation $\pi$ of $GL_m(\mathbb {A}_\mathbb {Q})$. The aim of the paper is to give a simple method to show the lower bounds of mean value for automorphic $L$-functions over short intervals.

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